INSTABILITY INTERVALS FOR HILL'S EQUATION WITH SYMMETRIC SINGLE-WELL POTENTIAL

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Coskun H., Baskaya E., Kabatas A.

UKRAINIAN MATHEMATICAL JOURNAL, vol.71, no.6, pp.977-983, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 71 Issue: 6
  • Publication Date: 2019
  • Doi Number: 10.1007/s11253-019-01692-x
  • Journal Name: UKRAINIAN MATHEMATICAL JOURNAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.977-983
  • Karadeniz Technical University Affiliated: Yes

Abstract

With the help of an auxiliary eigenvalue problem, we deduce some explicit estimates for the periodic and semiperiodic eigenvalues and the lengths of instability intervals for Hill's equation with symmetric single-well potentials. We also establish bounds for the gaps in the sets of Dirichlet and Neumann eigenvalues.